| Authors: | Najdanović, Marija Velimirović, Ljubica Vesić, Nenad |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | GEODESIC INFINITESIMAL DEFORMATIONS OF GENERALIZED RIEMANNIAN SPACES | Journal: | Mediterranean Journal of Mathematics | Volume: | 19 | Issue: | 3 | First page: | 149 | Issue Date: | 2022 | Rank: | ~M21 | ISSN: | 1660-5446 | DOI: | 10.1007/s00009-022-02056-9 | Abstract: | Infinitesimal deformations of subspaces of a generalized Riemannian space are studied in this paper. Variations of some geometric objects are found. Necessary and sufficient conditions which provide the existence of a geodesic infinitesimal deformation of a generalized Riemannian space are obtained. Basic equations of a geodesic infinitesimal deformation such as a system of differential equations which determined an infinitesimal deformation field are given. |
Publisher: | Springer Link |
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